164465
AssignmentMultiple Choice

Preparing to Estimate a Population Proportion

Question 164465 • CA-Statistics and Probability B

Interpret this interval.

Answer
A
90% of all doctors are satisfied with the current state of US health care.
B
Between 39.7% and 50.3% of the sample of doctors are satisfied with the current state of US health care.
C
We are 90% confident that the interval from 0.397 to 0.503 captures p = the true proportion of all US doctors who are satisfied with the current state of US health care.
D
A majority of the doctors in the sample are satisfied with the current state of US health care.

Explanation

A confidence interval describes uncertainty about the population proportion, not the exact proportion in the sample or population. The interval 0.397 to 0.503 means we are 90% confident that it captures p, the true proportion of all US doctors who are satisfied with the current state of US health care. Choice B describes a sample proportion rather than a confidence interval for the population proportion.

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